Elliptic curve data - 2960.l2

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2960c', 'Clabel': '2960c2', 'Cnumber': 2, 'abc_quality': 0.9379917665694112, 'absD': 35046400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1480, 'ainvs': [0, -1, 0, -40, -288], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2960, 'degree': 768, 'elladic_images': ['4.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.13222026658314544414303788102', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [-7086244, 34225], 'lmfdb_iso': '2960.l', 'lmfdb_label': '2960.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -40, 288], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.a.1.1', '740.24.0.?', '1480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5689182930197256535522573385', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 592], [37, 38, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44540238388347564703798888686', 'prec': 107}, 'szpiro_ratio': 3.1202607643626066, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 2, 0, 1, 0, -2, 0, 1, 0, 0, 0, -6, 0, 2, 0, -2, 0, -6, 0], 'aplist': [0, 2, 1, -2, 0, -6, -2, -6, 4, -2, 6, 1, -6, -8, 6, -10, -14, 6, 14, -8, -6, 14, -2, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 2960, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2960.l', 'trace_hash': 1873807912423954147}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.76763529635082106769926115440', 'prec': 103}, 'conductor': 2960, 'gens': [[54, 390, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5689182930197256535522573385', 'prec': 100}], 'lmfdb_label': '2960.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.85660598037444128827445743447', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4011015457879966558047961716198670961', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[9, 0, 1]], 'xcoord_integral_points': [9, 54]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2960.l2'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 154467
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2960.l2', 'torsion': [2, 2]}
  • id: 154468
    {'degree': 4, 'field': [-4, 0, -13, 0, 1], 'lmfdb_label': '2960.l2', 'torsion': [4]}
  • id: 154469
    {'degree': 4, 'field': [10, 6, -5, -2, 1], 'lmfdb_label': '2960.l2', 'torsion': [2, 4]}
  • id: 154471
    {'degree': 8, 'field': [-48, 0, 208, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '2960.l2', 'torsion': [6]}
  • id: 154470
    {'degree': 8, 'field': [1936, -264, 18, -182, 89, -2, 8, -4, 1], 'lmfdb_label': '2960.l2', 'torsion': [4, 4]}
  • id: 154473
    {'degree': 16, 'field': [1, 0, -8, 0, 12, 0, 8, 0, 714, 0, 8, 0, 12, 0, -8, 0, 1], 'lmfdb_label': '2960.l2', 'torsion': [2, 8]}
  • id: 154474
    {'degree': 16, 'field': [9, 0, 0, 0, 712, 0, 0, 0, 30, 0, 0, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '2960.l2', 'torsion': [2, 6]}
  • id: 154472
    {'degree': 16, 'field': [5041, 0, 20800, 0, 115726, 0, 35980, 0, -47649, 0, -19500, 0, -1674, 0, -60, 0, 1], 'lmfdb_label': '2960.l2', 'torsion': [8]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 52958
    {'conductor': 2960, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '2960.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 52959
    {'conductor': 2960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2960.l2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 52960
    {'conductor': 2960, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2960.l2', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1683323
    {'adelic_gens': [[369, 1472, 1295, 1479], [3, 8, 10, 27], [1, 0, 8, 1], [1, 8, 0, 1], [1001, 2, 0, 1], [741, 8, 0, 1], [1473, 8, 1472, 9], [5, 8, 48, 77], [297, 2, 0, 1]], 'adelic_image': '1480.48.0.?', 'conductor': 2960, 'lmfdb_label': '2960.l2', 'prime': 0}
  • id: 14879
    {'conductor': 2960, 'elladic_image': '4.12.0.12', 'lmfdb_label': '2960.l2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 95933
    {'lmfdb_iso': '2960.l', 'p': 7, 'prec': 20, 'unit': 7122255916248738, 'val': 1}
  • id: 95937
    {'lmfdb_iso': '2960.l', 'p': 13, 'prec': 20, 'unit': 1250121786010980256355, 'val': 1}
  • id: 95939
    {'lmfdb_iso': '2960.l', 'p': 17, 'prec': 20, 'unit': 165221651902469475866699, 'val': 1}
  • id: 95940
    {'lmfdb_iso': '2960.l', 'p': 19, 'prec': 20, 'unit': 959077911120242335064060, 'val': 1}
  • id: 95944
    {'lmfdb_iso': '2960.l', 'p': 23, 'prec': 20, 'unit': 21139893017637877592480490, 'val': 1}
  • id: 95936
    {'lmfdb_iso': '2960.l', 'p': 29, 'prec': 20, 'unit': 6013593208365154172756783119, 'val': 1}
  • id: 95949
    {'lmfdb_iso': '2960.l', 'p': 31, 'prec': 20, 'unit': 876882893959192971311440750, 'val': 1}
  • id: 95934
    {'lmfdb_iso': '2960.l', 'p': 41, 'prec': 20, 'unit': 3204113784659529466956833103217, 'val': 1}
  • id: 95935
    {'lmfdb_iso': '2960.l', 'p': 43, 'prec': 20, 'unit': 1968553400898227626651642755344, 'val': 1}
  • id: 95947
    {'lmfdb_iso': '2960.l', 'p': 47, 'prec': 20, 'unit': 1670968916399910699218511579280, 'val': 1}
  • id: 95941
    {'lmfdb_iso': '2960.l', 'p': 53, 'prec': 20, 'unit': 572201486100896428674301647096580, 'val': 1}
  • id: 95942
    {'lmfdb_iso': '2960.l', 'p': 59, 'prec': 20, 'unit': 164010940041963794850560114420810, 'val': 1}
  • id: 95948
    {'lmfdb_iso': '2960.l', 'p': 61, 'prec': 20, 'unit': 4485939098969654304448614679706439, 'val': 1}
  • id: 95932
    {'lmfdb_iso': '2960.l', 'p': 67, 'prec': 20, 'unit': 17230927389061645869471915607046837, 'val': 1}
  • id: 95946
    {'lmfdb_iso': '2960.l', 'p': 71, 'prec': 20, 'unit': 29470363972514918597020146917080511, 'val': 1}
  • id: 95943
    {'lmfdb_iso': '2960.l', 'p': 73, 'prec': 20, 'unit': 179904662980827034172156666418919877, 'val': 1}
  • id: 95938
    {'lmfdb_iso': '2960.l', 'p': 79, 'prec': 20, 'unit': 883911439142098679267519158689048277, 'val': 1}
  • id: 95931
    {'lmfdb_iso': '2960.l', 'p': 83, 'prec': 20, 'unit': 2649916306542588032252721666068031389, 'val': 1}
  • id: 95945
    {'lmfdb_iso': '2960.l', 'p': 89, 'prec': 20, 'unit': 10802095210992481217984333484858218587, 'val': 1}
  • id: 95930
    {'lmfdb_iso': '2960.l', 'p': 97, 'prec': 20, 'unit': 36445358120875626434270108610260215506, 'val': 1}